Question

1. $y = x + 2$ $m = 1$, $b = 2$ $(0,2)$

Explanation:

Step1: Identify slope and y - intercept

The equation is in slope - intercept form $y=mx + b$, where $m = 1$ and $b = 2$. The y - intercept is the point $(0,2)$.

Step2: Find another point

Using the slope $m = 1=\frac{\text{rise}}{\text{run}}$, from the y - intercept $(0,2)$, if we move 1 unit to the right (run = 1) and 1 unit up (rise = 1), we get the point $(1,3)$.

Step3: Draw the line

Plot the points $(0,2)$ and $(1,3)$ on the coordinate - grid and draw a straight line passing through them.

Answer:

The line $y=x + 2$ is drawn on the grid passing through the points $(0,2)$ and $(1,3)$.